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Finding the Fourth Proportional to 464.40, 698.22 and 411.12

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Solution

The fourth proportional to 464.40, 698.22 and 411.12 is: 618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 698.22 = 411.12 : x
  2. Step 2: Convert to fraction form
    464.40/698.22 = 411.12/x
  3. Step 3: Cross multiply
    464.40x = 698.22 × 411.12
  4. Step 4: Simplify right side
    464.40x = 287,052.21
  5. Step 5: Solve for x
    x = 287,052.21/464.40
  6. Step 6: Final answer
    x = 618.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.